Step-by-step explanation:
3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,
2y^2 = 12 ---> y^2 = 6
or
y = √6
4.This is an equilateral triangle of side 11 so
y = 11/2
To find x, use the definition of sine 60:
sin 60° = opp/hyp
= x/11
or
x = 11sin60° = (11√3)/2
Answer:
3.5 inch^3
Step-by-step explanation:
Volume of cube: V = s^2,
where V = volume, and s = length of side or edge.
The volume of the prism is the same as the volume of 28 cubes with edge length of 1/2 inch. To find the volume of the prism, find the volume of one cube and multiply by 28.
volume of prism = 28 * volume of cube
volume of prism = 28 * (1/2 inch)^3
volume of prism = 28 * 1/8 inch^3
volume of prism = 3.5 inch^3
